Best Known (40−34, 40, s)-Nets in Base 32
(40−34, 40, 76)-Net over F32 — Constructive and digital
Digital (6, 40, 76)-net over F32, using
- t-expansion [i] based on digital (5, 40, 76)-net over F32, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 5 and N(F) ≥ 76, using
- net from sequence [i] based on digital (5, 75)-sequence over F32, using
(40−34, 40, 86)-Net over F32 — Digital
Digital (6, 40, 86)-net over F32, using
- net from sequence [i] based on digital (6, 85)-sequence over F32, using
- Niederreiter–Xing sequence construction II/III [i] based on function field F/F32 with g(F) = 6 and N(F) ≥ 86, using
(40−34, 40, 797)-Net in Base 32 — Upper bound on s
There is no (6, 40, 798)-net in base 32, because
- the generalized Rao bound for nets shows that 32m ≥ 1 639118 224138 235739 976034 615237 934027 133666 696083 030824 471313 > 3240 [i]